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Have you considered just taking it to a shop that repairs convertible tops or even upholstery?

I've never done an upholstery repair, but based on how my wife deals with snags in clothing, etc., I would get a large upholstery needle and try and push the excess back in. Just work slowly and then maybe put a drop of clear nail polish or glue on the spot to prevent it from coming out again.

I have a pretty good suggestion for you. I have tried this on a piece of top material left over from my replacement. The material is acrylic yarn, a thermoplastic fiber. If you will heat a soldering iron and touch it the protruding yarn it will melt down to a tiny ball which will be much less noticeable. It will also be less likely to snag any further.